The article discusses group theory as it relates to puzzles like Rubik's Cube, which is based on permutation groups, and other types of puzzles the authors invented, based on other sporadic simple groups, including Mathieu groups. Strategies for solving these puzzles are discussed, with sidebars discussing and illustrating group theory. INSETS: RUBIK'S CUBE CODED;RUBIK'S CUBE DECODED;WHAT YOU'LL FIND ONLINE.
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